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Finding the Third Proportional to 86,685 and 180,243

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Solution

The third proportional to 86,685 and 180,243 is: 374,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,685 : 180,243 = 180,243 : x
  2. Step 2: Convert to fraction form
    86,685/180,243 = 180,243/x
  3. Step 3: Cross multiply
    86,685x = 180,243 × 180,243
  4. Step 4: Simplify right side
    86,685x = 32,487,539,049
  5. Step 5: Solve for x
    x = 32,487,539,049/86,685
  6. Step 6: Final answer
    x = 374,776.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.